Question

If each observation is multiplied by $\frac{1}{3}$ then the mean of the mean of the new data will be

• A. $\frac{1}{3}$ times
• B. $3$ times
• C. $\frac{1}{\sqrt{}3}$ times
• D. $\frac{2}{3}$ times

Answer 1

The correct option is A $\frac{1}{3}$ times

Consider that a observation,

Let,

Sum of observations: x

If each observation is multiplied by $\frac{1}{3}$ then the sum is also multiplied by$\frac{1}{3}$ .
:.New Sum: $=\frac{1}{3}\times x=\frac{1}{3}x$

Hence, this is the answer.